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kolbaska11 [484]
2 years ago
11

Walter pays $4 for each gallon, g, of gas for his

Mathematics
1 answer:
ipn [44]2 years ago
7 0

Answer:

Need

Step-by-step explanation:

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In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.
Bogdan [553]

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

j = \sqrt{99.45}

j = 9.97

∴

\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}

{9.97 \times    Sin (L ) = (2.7 \times Sin \ 43)

=  Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ =  Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 }  \\ \\  = Sin \ L = 0.18466 \\ \\  L = Sin^{-1} (0.18466) \\ \\  L = 10.64 ^0

3 0
2 years ago
4. Decide whether the following rates are equivalent? Answer is either: YES or NO
Arte-miy333 [17]

Answer

Yes, they are equivalent.

Step-by-step explanation:

10x2=20

13x2=26

6 0
3 years ago
Read 2 more answers
Rafael counted a total of 40 white cars and yellow cars there were 9 times as many white cars as yellow how many white cars did
Paladinen [302]

Answer:

Uhhhh si he counted 40 cars so just do 40 times 9 which is 360

6 0
3 years ago
Read 2 more answers
The difference between a number squared, and that same number is 30. What is the number
Volgvan

Answer:

n^2 = n + 30

n^2 -n -30 = 0

Solving by quadratic formula

numbers equal 6 AND -5  

DOUBLE -CHECK

6^2 -6 -30 = 0

36 -6 - 30 = 0 CORRECT

-5^2  - -5 -30 = 0

25 +5 -30 = 0 CORRECT

Two numbers 6 and -5

Step-by-step explanation:

6 0
3 years ago
An academic department with five faculty members narrowed its choice for department head to either candidate a or candidate
Fantom [35]
The probability that the first two votes drawn are both for candidate a is given by:
3C2/5C2 = 3/10
Having drawn two votes for candidate a on the first two draws, there are 2 votes for candidate b and one vote for candidate a remaining. The probability that a vote for candidate b will be drawn on the third draw is:
2/3.
After the first three draws, there reains one vote for candidate a and one vote for candidate b. The probability that a vote for candidate a will be drawn on the fourth draw is:
1/2.
The probability of the ordering aabab is therefore given by:
\frac{3}{10}\times\frac{2}{3}\times\frac{1}{2}=\frac{6}{60}
The answer is: 0.1.
7 0
2 years ago
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